Find the R Th Term in the Binomial Expansion $$( z + d ) ^ { n }$$

Multiple Choice

Find the r th term in the binomial expansion. $$( z + d ) ^ { n }$$

A) $\frac { n ! } { ( n - r ) ! r ! } z ^ { n - r } d ^ { r }$
B) $\frac { n ! } { ( n + r - 1 ) ! ( r + 1 ) ! } z ^ { n + r - 1 } d ^ { r + 1 }$
C) $\frac { n ! } { ( n - r + 1 ) ! ( r - 1 ) ! } z ^ { n - r } d ^ { r - 1 }$
D) $\quad \frac { n ! } { ( n - r ) ! r ! } z ^ { n - r + 1 } d ^ { r - 1 }$
E) $\frac { n ! } { ( n - r + 1 ) ! ( r - 1 ) ! } z ^ { n - r + 1 } d ^ { r - 1 }$